Question

Select the correct answer from each drop-down menu.
Maggie is monitoring the number of fish in a fish breeding center. The table below shows the number of fish with respect to the number of months elapsed.

Number of Months 0 1 2 3 4
Number of Fish 1,024 1,280 1,600 2,000 2,500
The independent variable in the relationship is the___________ and should be placed on the______________ .

The dependent variable in the relationship is the__________ and should be placed on the__________ .

Answer 1

The independent variable in the relationship is the Number of Months and should be placed on the x-axis

The dependent variable in the relationship is the Number of Fish and should be placed on the y-axis

Step-by-step explanation:

Let us explain the independent and dependent variables of a relation

• The independent variable is the input of the relation

• The dependent variable is the output of the relation
• The values of dependent variables depend on the values of independent variables
• When the relation represented graphically the independent variable placed on the x-axis and the dependent variable placed on the y-axis

The table:

→ Number of Months:  0       :  1         :  2       :  3          :  4

→ Number of Fish      : 1,024 :  1,280 :  1600 :  2,000  :  2,500

Let us check is their any constant ratio between the consecutive values of the number of fish

∵ 1,280 ÷ 1,024 = 1.25

∵ 1,600 ÷ 1.280 = 1.25

∵ 2,000 ÷ 1,600 = 1.25

∵ 2,500 ÷ 2,000 = 1.25

∴ The table represent an exponential function, where the input

   is the number of months and the output is the number of fish

∵ The input is independent variable

∴ The independent variable is the number of months

∵ The output is the dependent variable

∴ The dependent variable is the number of fish

∵ The independent variable is placed on the x-axis

∴ The number of months should be place on the x-axis

∵ The dependent variable is placed on the y-axis

∴ The number of fish should be place on the y-axis

The independent variable in the relationship is the Number of Months and should be placed on the x-axis

The dependent variable in the relationship is the Number of Fish and should be placed on the y-axis

Learn more:

You can learn more about the relation in brainly.com/question/10708697

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